The Elements of Plane and Solid Geometry ...D. Van Nostrand Company, 1890 - 393 páginas |
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Resultados 1-5 de 33
Página 22
... equally distant from the extremities of a straight line lies in the perpendicular bisector of the line . If a straight line have two points , each of which is equally distant from the extremities of a second line , it will be per ...
... equally distant from the extremities of a straight line lies in the perpendicular bisector of the line . If a straight line have two points , each of which is equally distant from the extremities of a second line , it will be per ...
Página 38
... equal DE , and the vertex C fall at F ' on the opposite side of DE from F. Join FF'which cuts DE at H. A BD \ H E Because DFDF ' , and EF EF ' , = ( Hyp . ) .. points D and E are equally distant from F and F ' . .. DE is to FF ' at its ...
... equal DE , and the vertex C fall at F ' on the opposite side of DE from F. Join FF'which cuts DE at H. A BD \ H E Because DFDF ' , and EF EF ' , = ( Hyp . ) .. points D and E are equally distant from F and F ' . .. DE is to FF ' at its ...
Página 48
... equal ( 75 ) . ... ABCD is aby definition . EXERCISES . ( 124 ) Q.E.D. 1. If one angle of a parallelogram is a right angle , prove that all its angles are right angles . 2. Prove that two parallels are everywhere equally distant . 3. If ...
... equal ( 75 ) . ... ABCD is aby definition . EXERCISES . ( 124 ) Q.E.D. 1. If one angle of a parallelogram is a right angle , prove that all its angles are right angles . 2. Prove that two parallels are everywhere equally distant . 3. If ...
Página 59
... equally distant from the sides of the angle ; and ( 2 ) conversely , every point within an angle , and equally distant from its sides , is in the bisector of the angle . ( 1 ) Hyp . Let AE be the bisector of the BAC ; P any point in AE ...
... equally distant from the sides of the angle ; and ( 2 ) conversely , every point within an angle , and equally distant from its sides , is in the bisector of the angle . ( 1 ) Hyp . Let AE be the bisector of the BAC ; P any point in AE ...
Página 60
... equally distant from its sides [ 160 ( 2 ) ] , that is , O must lie on the bisector CD . ... the bisectors of the three / s meet at the point 0 . Q. E. D. 167. COR . The point O is equally distant from the three sides of the triangle ...
... equally distant from its sides [ 160 ( 2 ) ] , that is , O must lie on the bisector CD . ... the bisectors of the three / s meet at the point 0 . Q. E. D. 167. COR . The point O is equally distant from the three sides of the triangle ...
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Otras ediciones - Ver todas
ELEMENTS OF PLANE & SOLID GEOM Edward a. (Edward Albert) 1845 Bowser Sin vista previa disponible - 2016 |
ELEMENTS OF PLANE & SOLID GEOM Edward a. (Edward Albert) 1845 Bowser Sin vista previa disponible - 2016 |
Términos y frases comunes
ABCD adjacent angles altitude angles are equal base bisect bisector centre chord circumference circumscribed coincide cone of revolution Cons construct cylinder diagonals diameter diedral angle distance divided draw equally distant equilateral triangle equivalent EXERCISES exterior angle faces feet Find the area Find the volume frustum given circle given line given point given straight line homologous homologous sides hypotenuse inches intersection isosceles triangle lateral area lateral edges Let ABC meet middle point number of sides parallel parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism produced Proposition Proposition 13 prove Proof pyramid quadrilateral radii radius ratio rectangle rectangular parallelopiped regular inscribed regular polygon right angles segment similar slant height sphere spherical polygon spherical triangle square surface symmetrical tangent tetraedron Theorem triangle ABC triangular prism triedral vertex
Pasajes populares
Página 74 - A circle is a plane figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within called the center.
Página 188 - Two triangles having an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.
Página 45 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Hyp. In A ABC and A'B'C' AB = A'B'; AC = A'C'; ZA>ZA'.
Página 137 - Terms of the proportion. The first and fourth terms are called the Extremes, and the second and third the Means.
Página 12 - AXIOMS. 1. Things which are equal to the same thing are equal to each other. 2. If equals be added to equals, the sums will be equal.
Página 57 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Página 334 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Página 253 - Equal oblique lines from a point to a plane meet the plane at equal distances from the foot of the perpendicular ; and of two unequal oblique lines the greater meets the plane at the greater distance from the foot of the perpendicular.
Página 378 - The circumferences of the sections made by the planes are called the bases of the zone, and the distance between the planes is the altitude of the zone.